Oscillatory behaviour of solutions of forced neutral differential equations

N. Parhi; P. K. Mohanty

Annales Polonici Mathematici (1996)

  • Volume: 65, Issue: 1, page 1-10
  • ISSN: 0066-2216

Abstract

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Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.

How to cite

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N. Parhi, and P. K. Mohanty. "Oscillatory behaviour of solutions of forced neutral differential equations." Annales Polonici Mathematici 65.1 (1996): 1-10. <http://eudml.org/doc/270010>.

@article{N1996,
abstract = {Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.},
author = {N. Parhi, P. K. Mohanty},
journal = {Annales Polonici Mathematici},
keywords = {neutral equation; oscillation; asymptotic behaviour; forced equation; neutral delay differential equations; oscillatory behaviour; linear; nonlinear; forced equations},
language = {eng},
number = {1},
pages = {1-10},
title = {Oscillatory behaviour of solutions of forced neutral differential equations},
url = {http://eudml.org/doc/270010},
volume = {65},
year = {1996},
}

TY - JOUR
AU - N. Parhi
AU - P. K. Mohanty
TI - Oscillatory behaviour of solutions of forced neutral differential equations
JO - Annales Polonici Mathematici
PY - 1996
VL - 65
IS - 1
SP - 1
EP - 10
AB - Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.
LA - eng
KW - neutral equation; oscillation; asymptotic behaviour; forced equation; neutral delay differential equations; oscillatory behaviour; linear; nonlinear; forced equations
UR - http://eudml.org/doc/270010
ER -

References

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  1. [1] Q. Chuanxi and G. Ladas, Oscillations of higher order neutral differential equations with variable coefficients, Math. Nachr. 150 (1991), 15-24. Zbl0728.34075
  2. [2] L. H. Erbe and B. G. Zhang, Oscillation for first order linear differential equations with deviating arguments, Differential Integral Equations 1 (1988), 305-314. Zbl0723.34055
  3. [3] M. K. Grammatikopoulos, G. Ladas and A. Meimardou, Oscillation and asymptotic behaviour of higher order neutral equations with variable coefficients, Chinese Ann. Math. Ser. B 9 (1988), 322-328. 
  4. [4] J. Jaros and T. Kusano, On a class of first order nonlinear functional differential equations of neutral type, Czechoslovak Math. J. 40 (1990), 475-490. Zbl0728.34083
  5. [5] P. X. Weng, Oscillation of second order neutral nonlinear functional differential equation, Ann. Differential Equations 7 (1991), 306-315. Zbl0743.34079
  6. [6] L. Wudu, Existence of nonoscillatory solutions of first order nonlinear neutral equations, J. Austral. Math. Soc. Ser. B 32 (1990), 180-192. Zbl0723.34069
  7. [7] L. Wudu, Oscillations of high order neutral differential equations with oscillatory coefficient, Acta Math. Appl. Sinica 7 (1991), 135-142. Zbl0743.34076

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